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Subtract 1, get a square (Posted on 2009-06-24) Difficulty: 2 of 5
By subtracting 1 from the positive base N integer having the form XYXYXYZY, we get a perfect square. It is known that each of X, Y and Z represents a different base N digit from 0 to N-1, and X is nonzero.

What are the integer value(s) of N, with 3 ≤ N ≤ 16 for which this is possible?

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
re: general solution (no proof yet)Daniel2009-06-24 20:15:49
Solutionextended computer listCharlie2009-06-24 17:03:37
general solution (no proof yet)Daniel2009-06-24 14:43:38
computer solutionDaniel2009-06-24 12:52:23
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